Abstract
Endoreversible thermodynamics is a finite time thermodynamics ansatz based on the assumption that reversible or equilibrated subsystems of a system interact via reversible or irreversible energy transfers. This gives a framework where irreversibilities and thus entropy production only occur in interactions, while subsystems (engines, for instance) act as reversible. In order to give an opportunity to incorporate dissipative engines with given efficiencies into an endoreversible model, we build a new dissipative engine setup. To do this, in the first step, we introduce a more general interaction type where energy loss not only results from different intensive quantities between the connected subsystems, which has been the standard in endoreversible thermodynamics up to now, but is also caused by an actual loss of the extensive quantity that is transferred via this interaction. On the one hand, this allows the modeling of leakages and friction losses, for instance, which can be represented as leaky particle or torque transfers. On the other hand, we can use it to build an endoreversible engine setup that is suitable to model engines with given efficiencies or efficiency maps and, among other things, gives an expression for their entropy production rates. By way of example, the modeling of an AC motor and its loss fluxes and entropy production rates are shown.
Highlights
What is commonly referred to as finite time thermodynamics became increasingly important as early as the 1970s [1]
The modeling of heat engines had to be extended by heat losses and finite rates in order to leave the field of ideal and reversible processes and achieve a better description of real processes occurring in finite time
Since endoreversible thermodynamics is by no means limited to heat engines, it has been used to study global wind energy production [35], chemical reactions [36,37,38], and even
Summary
What is commonly referred to as finite time thermodynamics became increasingly important as early as the 1970s [1]. The occurring energy losses may not be determined solely by a difference in the named intensive quantities To take this into account, in this work we, as the first step, introduce a more general description of irreversibilities within the endoreversible formalism. As the second step, using the more general description of irreversibilities introduced, we introduce an engine setup that is suitable to incorporate engines into an endoreversible model for which data such as efficiency and power are already available This enables reliable predictions to be made about mutual influences between individual components, which are themselves not the object of the investigation. We demonstrate the modeling of an AC motor with given loss functions and conclude our work in the last section
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